CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2003

  • question_answer
    Three point charges 1C, 2C and 3C are placed at the corners of an equilateral triangle of side 1m. The work done in bringing these charges to the vertices of a smaller similar triangle of side 0.5 m is:

    A)  \[2.7\times {{10}^{10}}J\]           

    B)         \[9.9\times {{10}^{10}}J\]           

    C)         \[10.8\times {{10}^{10}}J\]        

    D)         \[5.4\times {{10}^{10}}J\]

    E)  zero

    Correct Answer: B

    Solution :

    \[W=\frac{1}{4\pi {{\varepsilon }_{0}}}(1\times 2+2\times 3+3\times 1)\left( \frac{1}{0.5}-\frac{1}{1} \right)\] \[=9\times {{10}^{9}}\times 11\times 1\] \[=9.9\times {{10}^{10}}\]


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